Cellular Automata - Fire, Water, Grass

The code can all be found on GitHub: here

• Fire beats Grass.
• Grass beats Water.
• Water beats Fire.
• If neighboring cells are empty, the cell is occupied by the attacker.
• Each cell has a determined amount of HP to determine when it dies.
• Each loss, a cell loses one HP.
• Depending on mode, both the attacker and defender can mutually attack each other, else only the attacker attacks.

A large gif demonstrating the rules being applied with mutual attacks

A large gif demonstrating the rules being applied with only the attacker attacking. Note how much smoother the patterns are.

The below convergence graph shows how the populations starting from a random state tend towards homogeneousness. The end state is that each of the three elements represent approximately 33% of the occupied space.

The below graph shows when both the attacker and defender exchange an attack.

The below graph shows when only the attacker attacks each step.

A video of a larger simulation: here